Question 760637: Please help me with this equation. I don't understand this at all!
Find the distance between the points (-4, -5) and (3, -1).
Possible answers: sqrt 65, sqrt 37, or sqrt 17.
Thank you. I really appreciate your help!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! For more help, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver
Solved by pluggable solver: Distance Formula |
The first point is (x1,y1). The second point is (x2,y2)
Since the first point is (-4, -5), we can say (x1, y1) = (-4, -5)
So , 
Since the second point is (3, -1), we can also say (x2, y2) = (3, -1)
So , 
Put this all together to get: , , , and 
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Now use the distance formula to find the distance between the two points (-4, -5) and (3, -1)

Plug in , , , and 





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Answer:
The distance between the two points (-4, -5) and (3, -1) is exactly units
The approximate distance between the two points is about 8.06225774829855 units
So again,
Exact Distance: units
Approximate Distance: units
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For more help, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver
So the final answer is sqrt(65)
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